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Finding the Fourth Proportional to 408, 611.42 and 164.36

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Solution

The fourth proportional to 408, 611.42 and 164.36 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 611.42 = 164.36 : x
  2. Step 2: Convert to fraction form
    408/611.42 = 164.36/x
  3. Step 3: Cross multiply
    408x = 611.42 × 164.36
  4. Step 4: Simplify right side
    408x = 100,492.99
  5. Step 5: Solve for x
    x = 100,492.99/408
  6. Step 6: Final answer
    x = 246.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.